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Finding the Third Proportional to 7,530.75 and 16,278.75

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Solution

The third proportional to 7,530.75 and 16,278.75 is: 35,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.75 : 16,278.75 = 16,278.75 : x
  2. Step 2: Convert to fraction form
    7,530.75/16,278.75 = 16,278.75/x
  3. Step 3: Cross multiply
    7,530.75x = 16,278.75 × 16,278.75
  4. Step 4: Simplify right side
    7,530.75x = 264,997,701.56
  5. Step 5: Solve for x
    x = 264,997,701.56/7,530.75
  6. Step 6: Final answer
    x = 35,188.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.